Sentence examples for complementary constraints from inspiring English sources

A better understanding of the architectural meaning of the cortical folding pattern will lead to use some sulci as complementary constraints.

To overcome the numerical difficulties of the complementary constraints in optimization, an iteration process, comprising a quadratic programming (QP) and an updating process, is employed as the optimization method.

We transform the bilevel model into a single-level mixed integer linear program by replacing the second level (follower) problem by its KKT conditions and by linearizing the complementary constraints, and then we solve the MIP problem with a commercial optimization solver.

On the other hand, noise correlated with ORF length in an opposite way in HP genes (ρ = 0.20, p = 5.6 × 10−6, n = 309) which probably reflects complementary constraints on gene length (e.g., low noise genes in the HP class are mostly ribosomal genes, see Additional file 1: Figure S9. These genes may exhibit short length due to minimization of biosynthetic costs given their high expression [ 29]).

With this complementary constraint, only haplotypes that met the 10%% percentile MPPD threshold and exhibited a bootstrap reliability greater or equal to 70%% were considered to form a cluster.

In addition to having the ability to obtain global optimal solution, our approach can handle sensitivity and complementary sensitivity constraints simultaneously without using an iterative procedure.

The present solution methodology is based on the fact that the complementary boundary constraints, which are inequalities, play as important a role as the prescribed (admissible) boundary conditions, which are equalities.

Step 2. Find the complementary line constraint space, which represents those available constraints of the flexure systems, based on the chart of FACT, as illustrated in Figure 6.

Note that both projections force the values in y ̂ k to be feasible and that the choice of the projection subset depending on μ is in accordance with the complementary slackness constraint μ ( ∑ j = 1 J y j − C ) = 0 of the problem.

If ∑ j = 1 J ŷ j k < C then μ k + 1 is fixed to 0, which is in accordance with the complementary slackness constraint μ ( ∑ j = 1 J y j − C ) = 0. Let us consider without loss of generality a decentralized implementation of the proposed method with a controller and J independent participants.

Positive cross scheme effects can be expected when research and development activities are complementary and financing constraints are more binding for research than for development projects.